Euler fluid in 2+1 dimensions as a gauge theory and an action for the Euler fluid in any dimension

Autor(es)

Nastase, Horatiu ; Sonnenschein, Jacob

• Tipo de documento: Artigo Científico
• Fonte: PHYSICAL REVIEW D; v. 109, n. 8, p. 11-pg., 2024-04-01.

Resumo

In this paper we parallel the construction of Tong of a gauge theory for shallow water, by writing a gauge theory for the Euler fluid in 2 + 1 dimensions. We then extend it to a Euler fluid coupled to an electromagnetic background. We argue that the gauge theory formulation provides a topological argument for the quantization of 2 + 1 dimensional Euler Hopfion solution. In the process, we find a (nongauge) action for the Euler fluid that can be extended to any dimension, including the physical 3 + 1 dimensions. We also discuss several aspects of the Arnold-Beltrami-Childress flow. (AU)

• Processo FAPESP: 16/01343-7 - ICTP Instituto Sul-Americano para Física Fundamental: um centro regional para física teórica
• Beneficiário: Nathan Jacob Berkovits
• Modalidade de apoio: Auxílio à Pesquisa - Projetos Especiais
• Processo FAPESP: 19/13231-7 - Rede Chile - São Paulo de holografia
• Beneficiário: Horatiu Stefan Nastase
• Modalidade de apoio: Auxílio à Pesquisa - Regular
• Processo FAPESP: 19/21281-4 - Dualidade gravitação / Teoria de gauge
• Beneficiário: Horatiu Stefan Nastase
• Modalidade de apoio: Auxílio à Pesquisa - Temático